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Popular >

y=4x^2-24x+1

Solution

y = 4 x^{2} - 24 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 35

X Intercepts : (\frac{6 + 35}{2}, 0), (\frac{6 - 35}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (3, - 35)

Inverse : \frac{6 + x + 35}{2}, \frac{6 - x + 35}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 35, \infty)

Solution steps

Domain of

4 x^{2} - 24 x + 1 : - \infty < x < \infty

Range of

4 x^{2} - 24 x + 1 : f (x) \geq - 35

Axis interception points of

4 x^{2} - 24 x + 1 :

X Intercepts

: (\frac{6 + 35}{2}, 0), (\frac{6 - 35}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

4 x^{2} - 24 x + 1 :

Minimum

(3, - 35)

Inverse of

4 x^{2} - 24 x + 1 : \frac{6 + x + 35}{2}, \frac{6 - x + 35}{2}

Popular Examples

f(x)=0.25x^2-30x+4000

f (x) = 0.25 x^{2} - 30 x + 4000

f(x)=(2x)/(sqrt(x^2-1))

f (x) = \frac{2 x}{x ^{2} - 1}

f(x)=-2x^2+4x+8

f (x) = - 2 x^{2} + 4 x + 8

f(x)=sqrt(5-x)+3sqrt(x-1)

f (x) = 5 - x + 3 x - 1

f(x)=\sqrt[3]{x^2-5x+9}

Frequently Asked Questions (FAQ)

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